论文标题
参数化NASH游戏的连续性和灵敏度分析
Continuity and sensitivity analysis of parameterized Nash games
论文作者
论文摘要
在本文中，我们考虑了NASH平衡集的连续性和参数化游戏的NASH均衡。对于具有独特NASH平衡的参数化游戏，该平衡映射的连续性是众所周知的。但是，当平衡不必唯一时，平衡映射可能存在不连续性。这项工作的重点是总结参数化的NASH平衡的连续性属性，并通过近似NASH游戏证明连续性，具有均匀连续的目标函数，而不是潜在的非压缩策略空间。
In this paper we consider continuity of the set of Nash equilibria and approximate Nash equilibria for parameterized games. For parameterized games with unique Nash equilibria, the continuity of this equilibrium mapping is well-known. However, when the equilibria need not be unique, there may exist discontinuities in the equilibrium mapping. The focus of this work is to summarize continuity properties for parameterized Nash equilibria and prove continuity via the approximate Nash game with uniformly continuous objective functions over potentially non-compact strategy spaces.
